Hi Janice,

That is probably the right name (Jerry) (not Johnny) :-)
So long ago when I learned this song, I knew it started with a "J."
I think this may very well be the song! Now that I have read your message about this song, I do recall the verses now about the Doctor, and especially now remember "They bandaged his leg,they bandaged his head, I'll never do that again, he said,"

Thanks very much! Did you also go to school in Canada?

Wow! Never thought I would hear back from someone who knew this children's song from so long ago! Really appreciate it!!